10116610661 has 2 divisors, whose sum is σ = 10116610662. Its totient is φ = 10116610660.

The previous prime is 10116610639. The next prime is 10116610729. The reversal of 10116610661 is 16601661101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9277349761 + 839260900 = 96319^2 + 28970^2 .

It is an emirp because it is prime and its reverse (16601661101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 19901991101 and 10119910991.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10116610661 is a prime.

It is a super-2 number, since 2×10116610661² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10116615661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5058305330 + 5058305331.

It is an arithmetic number, because the mean of its divisors is an integer number (5058305331).

Almost surely, 2^10116610661 is an apocalyptic number.

It is an amenable number.

10116610661 is a deficient number, since it is larger than the sum of its proper divisors (1).

10116610661 is an equidigital number, since it uses as much as digits as its factorization.

10116610661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 10116610661 in words is "ten billion, one hundred sixteen million, six hundred ten thousand, six hundred sixty-one".